Question

An airplane touches down at a speed of 55.0 m/s on a runway that is 600 m long. The plane can decelerate at a uniform rate of 2.50 m/s^2. Will the plane be able to stop before the end of the runway?

Answer 1

after t seconds,

v = 55.0 - 2.5t
So, it takes
55.0/2.5 seconds to stop

In that time, the jet travels

s = 55.0t - 1.25t^2 meters

Plug in your value for t and see whether s <= 600